About the topology of polar curves of some singular foliations

DOI10.5802/aif.1960zbMath1032.32019OpenAlexW2316596784MaRDI QIDQ1395360

Nuria Corral

Publication date: 26 June 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_3_787_0

zbMATH Keywords

Newton polygonsingularitysingular foliationpolar curvelogarithmic model

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (12)

Local polar varieties in the geometric study of singularities ⋮ Determination of the polar equisingularity type ⋮ Real logarithmic models for real analytic foliations in~the~plane ⋮ The polar curve of a foliation on \(\mathbb P^{ 2 }\) ⋮ Separatrices for real analytic vector fields in the plane ⋮ Logarithmic models for non-dicritical foliations ⋮ Infinitesimal adjunction and polar curves ⋮ The polar family of webs and foliations ⋮ Infinitesimal initial part of a singular foliation ⋮ Local polar invariants for plane singular foliations ⋮ The valuative tree is the projective limit of Eggers-Wall trees ⋮ Zariski Invariant For Non-Isolated Separatrices Through Jacobian Curves of Pseudo-Cuspidal Dicritical Foliations

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